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Finding the Fourth Proportional to 207,565.20, 311,347.80 and 57,828.60

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Solution

The fourth proportional to 207,565.20, 311,347.80 and 57,828.60 is: 86,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,565.20 : 311,347.80 = 57,828.60 : x
  2. Step 2: Convert to fraction form
    207,565.20/311,347.80 = 57,828.60/x
  3. Step 3: Cross multiply
    207,565.20x = 311,347.80 × 57,828.60
  4. Step 4: Simplify right side
    207,565.20x = 18,004,807,387.08
  5. Step 5: Solve for x
    x = 18,004,807,387.08/207,565.20
  6. Step 6: Final answer
    x = 86,742.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.